The amount of time it takes an ice cube to melt varies inversely to the air temperature. At 30 degrees Celsius, the ice will melt in 10 minutes. How long will it take the ice to melt if the temperature is increase to 40 degrees Celsius?

Answer:The three consecutive integers are 23, 24 and 25

Step-by-step explanation:

23+24+25=72

Answer: Im sorry if i'm wrong but i think the intercept is 2

Step-by-step explanation:

Answer:

4x+8=x

Step-by-step explanation:

Let h(x) = 0.

Set each factor to 0 and solve for x.

-(x - 5) = 0

Disregard the negative sign in front of the parentheses.

x - 5 = 0

x = 5 is a zero.

x - 13 = 0

x = 13 is another zero.

The smaller zero is 5.

The larger zero is 13.

Both numbers make the quadratic function become zero.

Use the FOIL METHOD to express h(x) in standard form.

h(x) = -(x - 5)*x - 13)

After using FOIL, we get -x^2 + 18x - 65.

The square x term has a -1 in front. This number is the value of a in the formula below. The coefficient of x is 18. This is our b value.

x = -b/2a

x = -(18)/2(-1)

x = 18/2

x = 9

This number 9 just found is the x-coordinate of the vertex.

To find the y-coordinate of the vertex, replace every x you see in the quadratic equation above with 9 and simplify.

h(9) = -(9)^2 + 18(9) - 65

h(9) = 16

The vertex is located at the point (9, 16).

The smaller zero is 5 and larger zero is 13. The vertex is located at the point (9, 16).

Let h(x) = 0.

A. Now Set each factor to 0 and solve for x.

-(x - 5) = 0

Disregard the negative sign;

x - 5 = 0

x = 5 is a zero.

x - 13 = 0

x = 13 is another zero.

The smaller zero is 5 and larger zero is 13.

B. Both numbers make the quadratic function become zero.

So, Use the FOIL METHOD to express h(x) in standard form.

h(x) = -(x - 5)(x - 13)

we get -x^2 + 18x - 65.

x = -b/2a

x = -(18)/2(-1)

x = 18/2

x = 9

Hence, This number 9 just found is the x-coordinate of the vertex.

In order to find the y-coordinate of the vertex, replace every x you see in the quadratic equation above with 9 and simplify;

h(9) = -(9)^2 + 18(9) - 65

h(9) = 16

Hence, The vertex is located at the point (9, 16).

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Inequality Form = X > -1

Interval Notation = (-1,∞)

Answer:

x>-1

Step-by-step explanation:

move the 5 to the other side by subtracting both sides by 5:

-2x+5-5<7-5

=

-2x<2

Divide by negative 2

(Reminder when you divide or multiply anything by negative you need to switch the signs to the other side)

x>-1

Hope this helps!

The answer to this question is 10 cm

In this question, you asked the height and given the volume of water(2400cm3), aquarium length(20cm), and aquarium width(12cm).

Then you need to divide the volume with the length and width. The equation would be:

Aquarium height= volume / length / width

Aquarium height= 2400 cm3 / 20cm / 12 cm = 10cm.

Triangle ABC is an isosceles triangle. This means that base angles A and C are the same measure.

Triangle CDE is also isosceles. This means that angles C and D are the same measure.

The hatch marks shown in both triangles clearly indicate this fact of geometry.

So, if angle C is 40 degrees, C and D must be 70 degrees each because the sum of the angles in a triangle is 180 degrees.

Angle C = 70 degrees.

Answer:

Step-by-step explanation:

In right triangle sum of two angles is 90°

Angle y is exterior angle and equals non-adjacent interior angles

Answer:1.875

Step-by-step explanation:

The solution to the expression "-2.5 times (-3/4)" is 1.875.

A set of numbers, variables, and mathematical operations that may be evaluated to yield a value are referred to as expressions in mathematics. A single number or variable might be used, or it can be more complicated and involve several words and processes.

To find the solution to the expression "-2.5 times (-3/4)", we can follow these steps:

Step 1: Multiply -2.5 by -3/4,

-2.5 x (-3/4) = (2.5/1) x (3/4) = (2.5 x 3) / (1 x 4) = 7.5/4

Step 2: Simplify the fraction,

To simplify the fraction 7.5/4, we divide the numerator (7.5) by the denominator (4).

7.5 ÷ 4 = 1.875

In summary, when we multiply -2.5 by -3/4, we get 7.5/4, which simplifies to 1.875.

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Here you go! hope this is what you were looking for!

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[tex]a(10x + 6) = 40x + b[/tex]

[tex]10ax + 6a = 40x + b[/tex]

Thus :

[tex]10ax = 40x[/tex]

x s simplifies

[tex]10a = 40[/tex]

Divide sides by 10

[tex] \frac{10a}{10} = \frac{40}{10} \\ [/tex]

[tex]a = 4[/tex]

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And also must :

[tex]6a = b[/tex]

[tex]b = 6a[/tex]

[tex]b = 6(4)[/tex]

[tex]b = 24[/tex]

_________________________________

So :

[tex]a = 4[/tex]

[tex]b = 24[/tex]

Done...

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Answer:

There will be No solution for the equation [tex]9x - 4 = - 3x + 5 + 12x[/tex]. Option B is correct.

Step-by-step explanation:

We need to determine how many solutions the equation [tex]9x - 4 = - 3x + 5 + 12x[/tex] have.

Solving the equation and finding the solutions

[tex]9x - 4 = - 3x + 5 + 12x[/tex]

Combining like terms, Moving 3x and 12x to left side of equality and changing their signs and moving 4 on right side of equation and changing sign.

[tex]9x +3x-12x = 5 + 4[/tex]

Simplifying

[tex]12x-12x = 9\\0=9[/tex]

Solving the equation we get 0=9 which is false. So, there will be No solution for the equation [tex]9x - 4 = - 3x + 5 + 12x[/tex]. Option B is correct.

Answer:

A solution is a the thing you get when you do a math question

Step-by-step explanation:

Answer:

In math, it is the answer to a problem or question

In chemistry, a solution is a homogeneous mixture of two or more substances.

Answer:

The slope is -2. The y intercept is 4.

Step-by-step explanation:

Answer:

x = ⅗ = 0.6

Step-by-step explanation:

A square has four equal sides.

If a square has a side length of [tex] x + 3 [/tex], therefore,

Perimeter of the square = [tex] 4(x + 3) [/tex]

[tex] = 4x + 12 [/tex].

Also, a regular octagon has 8 equal sides.

If it has a side length of 3x, therefore:

Perimeter of the octagon = [tex] 8(3x) [/tex]

= [tex] 24x [/tex]

Given that the Perimeter of the rectangle and the octagon are the same, to find the value of x, set each perimeter equal to the other.

Thus:

[tex] 24x = 4x + 12 [/tex]

Subtract 4x from each side

[tex] 24x - 4x = 12 [/tex]

[tex] 20x = 12 [/tex]

Divide both sides by 20

x = 12/20 = ⅗ = 0.6.

Answer:

8 >_ 3 +x

Step-by-step explanation:

X = 5 and any numbers below 5

Answer:

8 ( > or equal to) n + 3

Step-by-step explanation:

I hope this helps :)

Answer: First box=3, second box=4, third box=0, last box=2

Step-by-step explanation: Do the math for the boxes.

Answer:

15

Step-by-step explanation:

Using the distance formula will help you with this!

Answer:

             The answer is 1,464.

The answer will be -1,464, when 1464 is "below sea level".

I hope it help you...

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[tex] \frac{3x}{x - 2} = 7 \\ [/tex]

Multiply sides by ( x - 2 )

[tex](x - 2) \times \frac{3x}{x - 2} = (x - 2) \times 7 \\ [/tex]

Simplification

[tex]3x = 7x - 14[/tex]

Subtract sides 7x

[tex] - 7x + 3x = - 7x + 7x - 14[/tex]

Simplification

[tex] - 4x = - 14[/tex]

Negatives simpliflies

[tex]4x = 14[/tex]

Divide sides by 4

[tex] \frac{4x}{4} = \frac{14}{4} \\ [/tex]

[tex]x = \frac{7}{2} \\ [/tex]

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Answer:

x = [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x}{x-2}[/tex] = 7 ( multiply both sides by x - 2 )

3x = 7(x - 2) ← distribute

3x = 7x - 14 ( subtract 3x from both sides )

0 = 4x - 14 ( add 14 to both sides )

14 = 4x ( divide both sides by 4 )

[tex]\frac{14}{4}[/tex] = x , that is

x = [tex]\frac{7}{2}[/tex]

Answer:

x=9 ! hope this helps

Step-by-step explanation:

Edge 2020

Answer:

e

Step-by-step explanation:

first of all common sense, the meeting point is the same but if f starts where it is it will take longer, e's postion is a much faster postion,

Answer:

$105.  I don't know about how much the skateboard is but on an average skateboard yes it is enough.

Step-by-step explanation:

If you get $3 a week and you have lived 20 more weeks. You would multiply 3 by 20 and get $60. Then you would add $60 to $45 and get $105. The average skateboard costs $70. So yes, a skateboard could be bought for $105. Hope this helps! Have a great day!

$105.

45 + 3w gives the amount of money you save after w weeks. We need to find amount of money we have after 20 weeks.

In equation we have to arrange all variables on one side and constants on other side

To save for a skateboard, If you get $3 a week from your aunt and you have lived 20 more weeks.

We need to multiply 3 with 20 to get the amount for 20 weeks.

So 3*20=$60 for 20 weeks...(*)

and from given

The expression 45 + 3w gives the amount of money you save after w weeks.

$45+3W

=$45+$60 (From *)

=$105

Therefore $10 money is enough to buy the skateboard.

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Answer:

600

610

You would round it to 600

Explanation:

Since 602 doesn't pass the five, it goes down to 600

Answer:

$2.70

Step-by-step explanation:

9 x 20 = 180

9 x 30 = 270

hope it helped

Answer:

x= 2i√2

Step-by-step explanation:

Combine terms 10x^2+83=3

Subtract 83 from both sides 10x^2=-80

Divide 10 from both sides x^2=-8

Take square root of each side x= square root of -8

Since there is no perfect square we do prime factorization of the 8 we get 4 and 2.

4 is a perfect square so it stays outside (but remember that what stays outside has the be result of the square so its a 2) and two stays inside the square

2√2

Remember that the response was negative so we have to add i.

Therefore, x= 2i√2

Answer:

12a^2b+4ab^2+20abc

Step-by-step explanation:

Multiply 4ab sea

4abxb

4abx5c

Answer:

242

Step-by-step explanation:

trust me

Answer:

i got 110 lol

Step-by-step explanation:

165/1.5= 110